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Finding the Fourth Proportional to 157,763.31, 217,712.50 and 86,142.82

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Solution

The fourth proportional to 157,763.31, 217,712.50 and 86,142.82 is: 118,876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,763.31 : 217,712.50 = 86,142.82 : x
  2. Step 2: Convert to fraction form
    157,763.31/217,712.50 = 86,142.82/x
  3. Step 3: Cross multiply
    157,763.31x = 217,712.50 × 86,142.82
  4. Step 4: Simplify right side
    157,763.31x = 18,754,369,135.85
  5. Step 5: Solve for x
    x = 18,754,369,135.85/157,763.31
  6. Step 6: Final answer
    x = 118,876.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.